Solve the following linear programming model graphically: Maximize Z = 5x 1 + 8x 2 Subject to
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Question:
Solve the following linear programming model graphically:
Maximize Z = 5x 1 + 8x 2
Subject to
3x 1 + 5x 2 ≤ 50
2x 1 +4x 2 ≤ 40
x 1 ≤ 8
x 2 ≤ 10
x 1 , x 2 ≤ 0
Shade the feasible region.
What are the extreme points? Give their (x1, x2)-coordinates.
Plot the objective function on the graph to demonstrate where it is optimized.
What is the optimal solution?
What is the objective function value at the optimal solution?
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